Matematika

Pertanyaan

tolong kerjakan tugas ini, pakai jalan
tolong kerjakan tugas ini, pakai jalan

1 Jawaban

  • 1a) y = x
    disubtitusi
    y + x = 10
    x + x = 10
    2x = 10
    x = 5
    disubtitusi
    y = x
    y = 5
    hp = { 5,5 }

    b) x = y + 5
    disubtitusi
    2y + x = 17
    2y + y + 5 = 17
    3y = 17 - 5
    3y = 12
    y = 4
    disubtitusi
    x = y + 5
    x = 4 + 5
    x = 9
    hp = { 9, 4 }

    c) y + 2x = 3
    y = - 2x + 3
    disubtitusi ke pers :
    2y - 3x = 8
    2(-2x + 3) - 3x = 8
    - 4x + 6 - 3x = 8
    - 7x = 8 - 6
    - 7x = 2
    x = - 2/7
    disubtitusi
    y = - 2x + 3
    y = - 2(-2/7) + 3
    y = 4/7 + 3
    y = 4/7 + 21/7
    y = 25/7
    hp = { - 2/7 , 25/7 }

    d) x - y = 3
    x = y + 3
    disubtitusi ke pers :
    2x + 3y = 11
    2(y + 3) + 3y = 11
    2y + 6 + 3y = 11
    5y = 11 - 6
    5y = 5
    y = 1
    disubtitusi ke pers :
    x = y + 3
    x = 1 + 3
    x = 4
    hp = { 4 , 1 }

    e) 3x - 2y = 3
    3x = 2y + 3
    disubtitusi ke pers :
    6x - 2y = 8
    ( 2•3x ) - 2y = 8
    2(2y + 3) - 2y = 8
    4y + 6 - 2y = 8
    2y = 8 - 6
    2y = 2
    y = 1
    disubtitusi ke pers :
    3x = 2y + 3
    3x = 2(1) + 3
    3x = 5
    x = 5/3
    hp = { 5/3 , 1 }

    2a) misal
    panjang = x
    lebar = x - 10
    K = 2 × ( p + l )
    80 = 2 × ( x + x - 10)
    80 = 2 × ( 2x - 10)
    2x - 10 = 80 ÷ 2
    2x - 10 = 40
    2x = 40 - 10
    2x = 30
    x = 15
    jadi
    panjang = x = 15 cm
    lebar = x - 10 = 15 - 10 = 5 cm